risingfactorial_function: Computes the rising factorial, also known as the Pochhammer...

In aschleg/numberr: Numberr is a package containing number-theoretic algorithms and functions primarily written in C++ using Rcpp

Description

The rising factorial, x^{(n)} (sometimes denoted \langle x \rangle_n) is also known as the Pochhammer symbol in other areas of mathematics. The rising factorial is related to the gamma function Γ (z).

x^{(n)} \equiv \frac{Γ (x + n)}{Γ (n)}

where x^(0) = 1. The rising factorial is related to the falling factorial by:

x^{(n)} = (-x)_n (-1)^n

Usage

risingfactorial_function(x, n)

Arguments

x	integer or character
n	integer

Value

string representation of rising factorial function.

References

Falling and rising factorials. (2017, June 8). In Wikipedia, The Free Encyclopedia. From https://en.wikipedia.org/w/index.php?title=Falling_and_rising_factorials&oldid=784512036 Weisstein, Eric W. "Rising Factorial." From MathWorld–A Wolfram Web Resource. http://mathworld.wolfram.com/RisingFactorial.html

Examples

risingfactorial_function('x', 3)
risingfactorial_function('a', 2)

aschleg/numberr documentation built on May 14, 2019, 10:31 a.m.